A new discrete wavelet transform appropriate for hardware implementation. (10th February 2020)

• Record Type: Journal Article
• Authors: Meshkat, Amin; Dehghani, Rasoul
• Is Part Of: International journal of circuit theory and applications. Volume 48:Number 3(2020)
• Page Start: 369
• Page End: 384
• Publication Date: 2020-02-10
• Subjects: discrete wavelet transforms -- low‐complexity implementation -- low‐power -- denoising -- Sobolev regularity; Electric circuit analysis -- Periodicals; 621.319205
• DOI: 10.1002/cta.2736
• Languages: English
• ISSNs: 0098-9886

Abstract

Summary: A new method for computation of discrete wavelet transform is introduced. The impulse response of the finite impulse response (FIR) filter, as the main block in filter bank method, is realized such that orthonormal wavelet transform is achieved without using any multiplier as the most challenging part of the FIR filters. It is proved that the calculated Sobolev regularity of the proposed wavelet is higher than that of Daubechies for the same support width. Compared with most popular known wavelets, simulation results of the newly introduced wavelet for signal denoising prove remarkable advantage of our wavelet especially in terms of complexity and power consumption. The proposed wavelet and well‐known Daubechies wavelet are separately implemented on the Spartan‐6 FPGA (Field Programmable Gate Array) to compare the performance of them. The occupied slices and LUTs (Lookup Table) in realization of the proposed wavelet in comparison with those of Daubechies wavelet are decreased by 50% and 56%, respectively. Its power consumption at 100 MHz is also reduced by 86% in comparison with the Daubechies wavelet, and maximum frequency is increased by 186%. Implementation with standard cells of a 0.18‐μm CMOS (Complementary Metal Oxide Semiconductor Field Effect Transistor) technology shows 75% and 85% reduction in the power and chip area, respectively. Abstract : A new method for computation of Discrete Wavelet Transform (DWT) is introduced. The impulse response of the FIR filter, as the main block in Filter Bank (FB) method, is realized such that orthonormal wavelet transform is achieved without using any multiplier as the most challenging part of the FIR filters. The occupied slices and LUTs in the FPGA realization of the proposed wavelet in comparison with those of Daubechies wavelet are decreased by 50% and 56%, respectively.